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Finding the Third Proportional to 23,258 and 51,052

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Solution

The third proportional to 23,258 and 51,052 is: 112,060.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258 : 51,052 = 51,052 : x
  2. Step 2: Convert to fraction form
    23,258/51,052 = 51,052/x
  3. Step 3: Cross multiply
    23,258x = 51,052 × 51,052
  4. Step 4: Simplify right side
    23,258x = 2,606,306,704
  5. Step 5: Solve for x
    x = 2,606,306,704/23,258
  6. Step 6: Final answer
    x = 112,060.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.